Numerical Method for Three-Dimensional Heat Conduction in Cylindrical and Spherical Coordinates
- 10.2991/iccia-16.2016.48How to use a DOI?
- Differential equation of heat conduction; Spherical coordinate; Numerical heat transfer; the first mean value theorem for integral.
According to the differential equations of heat conduction on cylindrical and spherical coordinate system, numerical solution of the discrete formula on cylindrical and spherical coordinate system with high accuracy were derived. Compared with the analytical solution, this discrete formula was verified with a high degree of accuracy. To make the complex dispersion coefficient of diffusion term more concrete in spherical coordinates, this paper derived the discretion coefficient of diffusion term by the first mean value theorem of integral. The accurate schemes provide a good reference for researchers whose work in solving the equation of heat conduction of three-dimensional cylindrical coordinates and spherical coordinates, and it will provide accurate numerical schemes and the theoretical basis for solving practical engineering problems.
- © 2016, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Xinxin Jia AU - Zongrui Hao AU - Hu Wang AU - Lei Wang AU - Xin Wang PY - 2016/09 DA - 2016/09 TI - Numerical Method for Three-Dimensional Heat Conduction in Cylindrical and Spherical Coordinates BT - Proceedings of the 2016 International Conference on Computer Engineering, Information Science & Application Technology (ICCIA 2016) PB - Atlantis Press SP - 260 EP - 266 SN - 2352-538X UR - https://doi.org/10.2991/iccia-16.2016.48 DO - 10.2991/iccia-16.2016.48 ID - Jia2016/09 ER -